Search a number
-
+
153468702017 is a prime number
BaseRepresentation
bin1000111011101101110…
…0101000110101000001
3112200010111102211111122
42032323130220311001
510003300441431032
6154300314522025
714042045305061
oct2167334506501
9480114384448
10153468702017
115a0a4099334
12258b0436315
131161a0ab067
1475dc3233a1
153ed33a8012
hex23bb728d41

153468702017 has 2 divisors, whose sum is σ = 153468702018. Its totient is φ = 153468702016.

The previous prime is 153468702007. The next prime is 153468702029. The reversal of 153468702017 is 710207864351.

153468702017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150184151296 + 3284550721 = 387536^2 + 57311^2 .

It is a cyclic number.

It is not a de Polignac number, because 153468702017 - 216 = 153468636481 is a prime.

It is not a weakly prime, because it can be changed into another prime (153468702007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76734351008 + 76734351009.

It is an arithmetic number, because the mean of its divisors is an integer number (76734351009).

Almost surely, 2153468702017 is an apocalyptic number.

It is an amenable number.

153468702017 is a deficient number, since it is larger than the sum of its proper divisors (1).

153468702017 is an equidigital number, since it uses as much as digits as its factorization.

153468702017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 153468702017 in words is "one hundred fifty-three billion, four hundred sixty-eight million, seven hundred two thousand, seventeen".